We are asked to determine the value of a such that the function f(x) = ax^2 + 5 is fit for the point given (-1,2). In this case, we substitute 2 to y and -1 to x. The result is then 2 = a*(-1)^2 + 5 ; 2 = a + 5; a is then equal to -3
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
Answer:
B
Step-by-step explanation:
<u>This is a right triangle as shown by the right angle.</u>
- The side opposite the right angle is the hypotenuse, which is 9.
- The side opposite angle A is 3.
So we have the opposite of A and the hypotenuse.
The trigonometric ratio that relates opposite side to hypotenuse is SINE.
Since, we need angle A, 
is A, opposite side is 3, and hypotenuse is 9, we substitute:
<em>To solve for the angle, we use our calculator and find the inverse sin of 
:</em>
<em>Rounding to nearest tenth of a degree:</em>
B is the right choice.
Answer:
1. Chloe has more money.
2. Dylan does <u>not</u> have enough money to buy 3 bags of candy.
3. Mikayla could get 4 pennies, 2 nickels, 2 dimes, and 2 quarters back in change.
Step-by-step explanation:
Penny = 1 cent
Nickel = 5 cents
Dime = 10 cents
Quarter = 25 cents
1. Chloe has 2 quarters(50 cents) and 3 dimes(30 cents). 50 + 30 = 80 cents
Haru has 5 nickels(25 cents) and 4 dimes(40 cents). 25 + 40 = 65 cents
2. If each bag costs $350(oddly enough). Dylan would need $1,050 to buy 3 bags of candy. Instead he only has $10. This means he would need $1,040 more dollars.
3. $5 - 4.16 = 84 cents in return
quarter(25) + quarter(25) + dime(10) + dime(10) + nickel(5) + nickel(5) + penny(1) + penny(1) + penny(1) + penny(1) = 84 cents
Answer:
(4,1)
Step-by-step explanation:
